Respuesta :
The measure of the angle would be 56 degrees while the measure of its supplement would be 124.
Explanation:
To answer this question, one can start by writing an equation to model the situation. In this case, an equation that could model this problem is:
12+2a+a=180
Therefore, I chose to write this equation because supplement (or supplementary angles) are angles that add up to 180 degrees. Moreover, lets say the measure of one of the angles is represented by the letter a. Then the measure of the supplement could be represented by the expression 2a+12 (12 more than twice the measure of the angle).
Thus, by knowing all of this we can now write the equation I previously created. Which makes sense because if you add 2a+12 (the measure of the supplement) with "a" (the measure of the other angle) and put their sum to equal 180 it would be totally rational since the sum of supplementary angles add up to 180 degrees.
Now, all we have to do is solve.
12+2a+a=180
* minus 12
2a+a=168
3a=168
divide by 3
a=56
(measure of one of the angles)
Then we substitute for the value of a.
12+2a
12+2(56)
12+112
124 (measure of the supplement)
Finally, we check our answer.
56+124=180
Explanation:
To answer this question, one can start by writing an equation to model the situation. In this case, an equation that could model this problem is:
12+2a+a=180
Therefore, I chose to write this equation because supplement (or supplementary angles) are angles that add up to 180 degrees. Moreover, lets say the measure of one of the angles is represented by the letter a. Then the measure of the supplement could be represented by the expression 2a+12 (12 more than twice the measure of the angle).
Thus, by knowing all of this we can now write the equation I previously created. Which makes sense because if you add 2a+12 (the measure of the supplement) with "a" (the measure of the other angle) and put their sum to equal 180 it would be totally rational since the sum of supplementary angles add up to 180 degrees.
Now, all we have to do is solve.
12+2a+a=180
* minus 12
2a+a=168
3a=168
divide by 3
a=56
(measure of one of the angles)
Then we substitute for the value of a.
12+2a
12+2(56)
12+112
124 (measure of the supplement)
Finally, we check our answer.
56+124=180
Answer:
∠64° and ∠26°
Step-by-step explanation
Complementary angles add up to 90° total (two angles).
Lets give variable values to each angle:
x= 12 more than twice the measure of the complement
y= complement
Write an equation equaling to a total of 90:
Write an algebraic expression for the value of x:
Insert the value for x into the equation:
Simplify and solve for y:
The value of y is 26. Insert this value into the original equation and solve for x:
The value of x is 64. So, the complemenatry angles are 64° and 26°.
:Done
